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Finding the Third Proportional to 3,711,134.25 and 5,746,270.50

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Solution

The third proportional to 3,711,134.25 and 5,746,270.50 is: 8,897,448.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711,134.25 : 5,746,270.50 = 5,746,270.50 : x
  2. Step 2: Convert to fraction form
    3,711,134.25/5,746,270.50 = 5,746,270.50/x
  3. Step 3: Cross multiply
    3,711,134.25x = 5,746,270.50 × 5,746,270.50
  4. Step 4: Simplify right side
    3,711,134.25x = 33,019,624,659,170.25
  5. Step 5: Solve for x
    x = 33,019,624,659,170.25/3,711,134.25
  6. Step 6: Final answer
    x = 8,897,448.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.